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djyliett [7]
4 years ago
13

Martha tries to exercise at least 30 minutes eac day write an inequality to represent the number of minutes Martha exercises eac

h day
Mathematics
1 answer:
Sergio [31]4 years ago
4 0
Let “t” represent the number of minutes Martha exercises each day. If she needs to exercise *at least* 30 minutes, t has to be equal to or greater than 30, so our inequality would be

t ≥ 30
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Quick brain for first and 5 stars What steps should be taken to calculate the volume of the right triangular prism? Select three
Ierofanga [76]

Answer:

- Use the formula A = one-half b h to find the area of the base.

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

- The volume of the prism, V is (56) (7) = 392 meters cubed

Step-by-step explanation:

To find the volume of right triangular prism, the following steps should be followed:

The formula bfor calculating the volume = Base Area × Height.

Step 1:

- Use the formula A = one-half b h to find the area of the base.

This formula of a triangle bus used because the base of a triangular prism is triangular in nature.

b is the base of the triangle

h is the height of the triangle

Step 2:

Given base if triangle = 8m

Height of triangle = 14m

We substitute this values into the formula of the base area to have the second step:

Base area = 1/2(8)(14) = 56m²

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

Step 3:

Then we calculate the volume if the prism where height of the prism is 8m

volume of the prism = 56 × 7

= 392m³.

This gives us the final step

- The volume of the prism, V is (56) (7) = 392 meters cubed

8 0
3 years ago
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The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a sta
Anestetic [448]

Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Average of 1,200 dollars and a standard deviation of 900 dollars.

This means that \mu = 1200, \sigma = 900

Sample of 10.

This means that n = 10, s = \frac{900}{\sqrt{10}} = 284.6

The sampling distribution of the sample mean amount of money in a savings account is

By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

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3 years ago
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Kaylis [27]
  1. Answer:

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goblinko [34]

Answer:

y = -2x + 16.

Step-by-step explanation:

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What is the slope of the line passing through the points (1, -5) and (4,1)
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